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Double-diffusive and Soret-induced convection in a shallow horizontal layer filled with non-Newtonian power-law fluids
1 : Laboratory of Flows and Transfers Modelling
(LAMET)
Sultan Moulay Slimane University, Faculty of Sciences and Technologies, B.P.523, Beni-Mellal 23000, Morocco -
Maroc
This paper reports an analytical and numerical study of the natural convection in a horizontal shallow cavity filled with non-Newtonian power-law fluids. A uniform heat flux is applied to the vertical walls while the horizontal walls are impermeable and adiabatic. The solutal buoyancy forces are assumed to be induced either by the imposition of constant fluxes of mass on the vertical walls (double-diffusive convection, a = 0) or by temperature gradients (Soret induced convection, a = 1). The case where the buoyancy forces induced by the thermal and solutal effects are opposing each other and of equal intensity (N = −1) is considered. For this situation the critical Rayleigh number for the onset of convection is predicted.
